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Neural Networks with Finite Width Action Potentials | | Fariel Shafee
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9 Nov 2001 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn q-bio | | Abstract: | The significance of having finite widths of action potentials in integrate and fire neural networks is investigated. Models suggested by Hopfield and Herz [1] with zero action potential has been generalized to include pulse shapes of arbitrary widths and shapes. The convergence to limit cycle is examined both analytically and in simulation experiments. Hopfield’s proof for nonleaking models has been extended nontrivially to the case of finite widths. It is pointed out that the concept of simultaneity in such networks maybe subject to bin widths in simulation experiments. The effects of varying the shape of the action potential and its width are examined. The roles of the magnitude of a leaking resistance connected to the neurons, a common external current and synaptic currents between neighbors are also examined and found to bear important consequences to the dynamical development of the network. | | Source: | arXiv, cond-mat/0111151 | | Services: | Forum | Review | PDF | Favorites | |
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